Search a number
-
+
23231310120 = 23325411573937
BaseRepresentation
bin10101101000101100…
…011010100100101000
32012222000210211102100
4111220230122210220
5340034203410440
614401115333400
71451456610054
oct255054324450
965860724370
1023231310120
119941518157
124604151260
132262c89865
1411a5500c64
1590e7a1230
hex568b1a928

23231310120 has 96 divisors (see below), whose sum is σ = 77343313320. Its totient is φ = 6043914240.

The previous prime is 23231310119. The next prime is 23231310163. The reversal of 23231310120 is 2101313232.

23231310120 is a `hidden beast` number, since 2 + 3 + 231 + 310 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17887992516 + 5343317604 = 133746^2 + 73098^2 .

It is a super-2 number, since 2×232313101202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23231310093 and 23231310102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772209 + ... + 801728.

Almost surely, 223231310120 is an apocalyptic number.

23231310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231310120 is an abundant number, since it is smaller than the sum of its proper divisors (54112003200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23231310120 is a wasteful number, since it uses less digits than its factorization.

23231310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573995 (or 1573988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23231310120 its reverse (2101313232), we get a palindrome (25332623352).

The spelling of 23231310120 in words is "twenty-three billion, two hundred thirty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 1573937 3147874 4721811 6295748 7869685 9443622 12591496 14165433 15739370 18887244 23609055 28330866 31478740 37774488 47218110 56661732 62957480 64531417 70827165 94436220 113323464 129062834 141654330 188872440 193594251 258125668 283308660 322657085 387188502 516251336 566617320 580782753 645314170 774377004 967971255 1161565506 1290628340 1548754008 1935942510 2323131012 2581256680 2903913765 3871885020 4646262024 5807827530 7743770040 11615655060 23231310120